Polynomial Sequences: Worksheet 6 - Intermediate-Advanced Practice Polynomial Sequences INTERMEDIATE ADVANCED

Ready to master Polynomial Sequences? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve polynomial sequences tricks, handle polynomial sequences shortcut methods, and perfect polynomial sequences bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:

Understand the logic behind polynomial sequences shortcut methods
Learn step-by-step approaches to speed building
Handle multi-step problems systematically
Master complex problem variations and edge cases
Master polynomial sequences tricks through focused practice

Your progress through Polynomial Sequences

Worksheet 6 of 10 (55% complete)

Question 1

What is the next term in this sequence: 1, 6, 13, 22, ?

Quadratic sequence: 1n² + 4n + 1
When n=0: 1
n=1: 6
n=2: 13
n=3: 22
Next (n=4): 33

Question 2

What is the next term in this sequence: 1, 6, 15, 28, ?

Quadratic sequence: 2n² + 3n + 1
When n=0: 1
n=1: 6
n=2: 15
n=3: 28
Next (n=4): 45

Question 3

What is the next term in this sequence: 2, 7, 14, 23, ?

Quadratic sequence: 1n² + 4n + 2
When n=0: 2
n=1: 7
n=2: 14
n=3: 23
Next (n=4): 34

Question 4

What is the next term in this sequence: 3, 10, 21, 36, ?

Quadratic sequence: 2n² + 1n + 0
When n=1: 3
n=2: 10
n=3: 21
n=4: 36
Next (n=5): 55

Question 5

What is the next term in this sequence: 2, 7, 16, 29, ?

Quadratic sequence: 2n² + 3n + 2
When n=0: 2
n=1: 7
n=2: 16
n=3: 29
Next (n=4): 46

Question 6

What is the next term in this sequence: 3, 13, 37, 81, ?

Cubic sequence: 1n³ + 1n² + 0n + 1
Sequence: 3, 13, 37, 81
Next term: 151

Question 7

What is the next term in this sequence: 4, 15, 40, 85, ?

Cubic sequence: 1n³ + 1n² + 1n + 1
Sequence: 4, 15, 40, 85
Next term: 156

Question 8

What is the next term in this sequence: 6, 15, 28, 45, ?

Quadratic sequence: 2n² + 3n + 1
When n=1: 6
n=2: 15
n=3: 28
n=4: 45
Next (n=5): 66

Question 9

What is the next term in this sequence: 6, 15, 28, 45, ?

Quadratic sequence: 2n² + 3n + 1
When n=1: 6
n=2: 15
n=3: 28
n=4: 45
Next (n=5): 66

Question 10

What is the next term in this sequence: 3, 8, 15, 24, ?

Quadratic sequence: 1n² + 2n + 0
When n=1: 3
n=2: 8
n=3: 15
n=4: 24
Next (n=5): 35

Question 11

What is the next term in this sequence: 2, 12, 36, 80, ?

Cubic sequence: 1n³ + 1n² + 0n + 0
Sequence: 2, 12, 36, 80
Next term: 150

Question 12

What is the next term in this sequence: 1, 6, 15, 28, ?

Quadratic sequence: 2n² + 3n + 1
When n=0: 1
n=1: 6
n=2: 15
n=3: 28
Next (n=4): 45

Question 13

What is the next term in this sequence: 1, 6, 13, 22, ?

Quadratic sequence: 1n² + 4n + 1
When n=0: 1
n=1: 6
n=2: 13
n=3: 22
Next (n=4): 33

Question 14

What is the next term in this sequence: 1, 5, 13, 25, ?

Quadratic sequence: 2n² + 2n + 1
When n=0: 1
n=1: 5
n=2: 13
n=3: 25
Next (n=4): 41

Question 15

What is the next term in this sequence: 2, 9, 28, 65, ?

Cubic sequence: 1n³ + 0n² + 0n + 1
Sequence: 2, 9, 28, 65
Next term: 126

Question 16

What is the next term in this sequence: 2, 7, 14, 23, ?

Quadratic sequence: 1n² + 4n + 2
When n=0: 2
n=1: 7
n=2: 14
n=3: 23
Next (n=4): 34

Question 17

What is the next term in this sequence: 2, 10, 30, 68, ?

Cubic sequence: 1n³ + 0n² + 1n + 0
Sequence: 2, 10, 30, 68
Next term: 130

Question 18

What is the next term in this sequence: 1, 4, 9, 16, ?

Quadratic sequence: 1n² + 2n + 1
When n=0: 1
n=1: 4
n=2: 9
n=3: 16
Next (n=4): 25

Question 19

What is the next term in this sequence: 4, 12, 24, 40, ?

Quadratic sequence: 2n² + 2n + 0
When n=1: 4
n=2: 12
n=3: 24
n=4: 40
Next (n=5): 60

Question 20

What is the next term in this sequence: 2, 12, 36, 80, ?

Cubic sequence: 1n³ + 1n² + 0n + 0
Sequence: 2, 12, 36, 80
Next term: 150

🏆 Halfway champion! 55% through Polynomial Sequences. Keep the momentum!

Previous Worksheet Next Worksheet